{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import statsmodels.api as sm\n",
    "import statsmodels.tsa.api as tsa\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.graphics.tsaplots import plot_acf,plot_pacf\n",
    "import itertools\n",
    "from sklearn.metrics import mean_squared_error,r2_score\n",
    "import warnings\n",
    "#忽略警告输出\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "#用来正常显示中文标签\n",
    "plt.rcParams[\"font.sans-serif\"]=[\"SimHei\"]\n",
    "#用来显示负号\n",
    "plt.rcParams[\"axes.unicode_minus\"]=False\n",
    "#在jupyter中显示figure\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Unnamed: 0</th>\n",
       "      <th>value</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>time</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1960-03-01</th>\n",
       "      <td>1</td>\n",
       "      <td>0.71</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1960-06-01</th>\n",
       "      <td>2</td>\n",
       "      <td>0.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1960-09-01</th>\n",
       "      <td>3</td>\n",
       "      <td>0.85</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1960-12-01</th>\n",
       "      <td>4</td>\n",
       "      <td>0.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1961-03-01</th>\n",
       "      <td>5</td>\n",
       "      <td>0.61</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1979-12-01</th>\n",
       "      <td>80</td>\n",
       "      <td>9.99</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1980-03-01</th>\n",
       "      <td>81</td>\n",
       "      <td>16.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1980-06-01</th>\n",
       "      <td>82</td>\n",
       "      <td>14.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1980-09-01</th>\n",
       "      <td>83</td>\n",
       "      <td>16.02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1980-12-01</th>\n",
       "      <td>84</td>\n",
       "      <td>11.61</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>84 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "            Unnamed: 0  value\n",
       "time                         \n",
       "1960-03-01           1   0.71\n",
       "1960-06-01           2   0.63\n",
       "1960-09-01           3   0.85\n",
       "1960-12-01           4   0.44\n",
       "1961-03-01           5   0.61\n",
       "...                ...    ...\n",
       "1979-12-01          80   9.99\n",
       "1980-03-01          81  16.20\n",
       "1980-06-01          82  14.67\n",
       "1980-09-01          83  16.02\n",
       "1980-12-01          84  11.61\n",
       "\n",
       "[84 rows x 2 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#导入数据\n",
    "data= pd.read_csv('johns.csv',parse_dates=[\"time\"],index_col='time')#读取\n",
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "No handles with labels found to put in legend.\n",
      "findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans.\n",
      "findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans.\n"
     ]
    },
    {
     "data": {
      "image/png": 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AZvVqlkO1pe/zr4unBFu0agPXHdWZoQe0K9GUWN+54eguzF6ax3+88DnZjeqU2eLoALnf5jHlq9Xfj0qZs2wdC1fmk8hRqBKgTWZt2jeuw5HdmtChcV3aN65DdqM63y/oXh7aZtXmqQv7cfqDH3LWwx/x7MUDaJJRI+nrLM/bxPBRk5mQu4Iz+rbixuO7lfn6KKmSViVwQs8WqS5DkiRJkiRJqvQMWPZCt42dyaYtRQxqn0m/tpnUqV56PwYzl6xl+KjJfLk0j18e0Jarjuy0y2uqVE9P454hORx7zziuGPUZT/+yf6VZbwSKpwR76qOF3PTydBrWrsboofvTtxQXYE9Pq8K9Z+Zwwn3juejJibx8+aBSD6GWrNnIbWNn8vzkrwGomhZom1Wbbs3rcULPFnRoUof2jevQNqt2hVkrp3PTDEb+vC9nP/wRZz/8Ec9cNICGSYwW+nT+Si57ehKr8wu47WfdUzI6SJIkSZIkSVLlY8CyF1qwMp9/TV/KI+PmkV4l0KNVfQZlZzKwfRY5+9TfrRvnMUae+GABf3xtBhk1qvLEBf04sGOjpK/TrlEd/njSvvz6mSnc/eZsfnNEp6SvUd7yN2/hk/mrGP3xQl7/fAkHdmzEf5/Wg8w61Uv9terXqsZD5/bhpPvGM/SJiTx78YBSGWmxYXMhI96bywPv5lJYFLnkoGxO6dWC1pm1qVoJQq6cfRrw8Hl9Of+xjznv0Y95+pf9qVuj6k7PiTHy6Pj5/Pm1GbRoUJPnL+1Lt+blt/i8JEmSJEmSpMrNgGUvdN+ZvdhYUMjEBasYP2c543NXcO/bc7j7rTnUqFqFvm0aMqh9Fj9pn0XXZhk/Or3VirxNXDNmKm/OXMbBnRpx+6k9yCpBuHBSTkvGz1nBPW/PYf/sTAZmZ+32tcpCQWERU75azfg5Kxifu5zJC1dRUBipllaFq4/sxCWDs0tlSrAd6dikLn89I4ehT37Ktc9N5a+n99ztNU6KiiIvTVnMrWNn8s2ajRyzXzOuO6pzidYySZUB2Zncf3Yvhj4xkV+M/JTHL+i3w+nK1m0s4NrnpvLatCUc0bUJt5/ag3o1dx7ISJIkSZIkSdLWDFj2UjWqpjGofRaD2heHF2s2FPDR3BVMyF3B+DnLueX1mQDUr1WVAe2KR7cMys6kbVbtf7uZP272cn7zj89YvaGAG4/rynkD25TKguZ/OL4bkxau4lejP+O1Kw4oUWBTUkVFkZlL1jEhdznj5yzn43krWb+5kBCgW/MMLhjUlkHts+jbpmG5rT9yeNcmXHl4R+7455d0aZbBxYOzk77GxAWruOmV6Xz21Wr2bZHBXWfk0K9t6U1plgqHdG7Cf5/ek+GjJ3PxUxN56Nw+VEv/9xE4s5as45KnJrJgZT7XH9WZoQe2K5WfWUmSJEmSJEl7FwMWAVCvZlWO6NaUI7o1BWDZ2o3fhy0Tclfw+udLAGhWrwYDs7MY1D6TWUvW8eB7c+nQuA6PX9CPLs0ySq2e2tXTuXdIL07823iuenYKj57Xt0xHhWxr4Yp8xs1Zzvjc5XyYu4IV6zcD0C6rNif1asGg7CwGZGdSv9aur/VR2i47uD0zlqzj1rEz6dSkLgd3brxL5329egO3vj6Tl6YspnHd6txxag9OzmlRrv++Zem4Hs3J37yFa5+bxhWjJ3PPkJzv1/J5YfIifvv859Spkc7TF/anf7vMFFcrSZIkSZIkqbIyYNF2Nc6owYk5LTgxpwUxRhasyGd8YgTHWzOX8tykRQCc1X8f/uOYrmUycqNr8wx+d0wXfvfiFzw8bi5DD0x+lMau+nbdJibkLmdCYtqvRas2ANAkozqDOzYqHsHTPrPUF5UviRACt/+sO/O+Xc/wUZN54bJBtG9cZ4fHr9+0hQfezWXEe3MBuPyQ9lw8OJva1fe8NnB6331Yt3ELN786g+uen8bNJ+7Lf70ynac/Wki/tg25d0gOjTNqpLpMSZIkSZIkSZXYnndnVaUuhECbrNq0yarNWf1bU1QUmbFkLYVFke4t65fpa5+9f2sm5K7gtrGz6NumITn7NCjV6y9evYFbx87kxc8WA5BRI50B2ZkMPbAdA7OzyG5Uu0JPH1WrWjoPndeH4+8Zx9AnPuWFywb9YC2RoqLIc5MWcfsbs1i2bhPH92jOtUd1pkX9ihMWlYULD2hH3qYt/PV/Z/POrGUsz9vMRYPbcfURnb4f0SJJkiRJkiRJu8uARUmrUiXQrXm9cnmtEAK3nNydqYve5/JRk3l1+AGlshj5+k1bePDdXEa8P5cY4aLB7Th632bs26IeaZVsqqwW9Wty/9m9OevhDxk+ajKPnt/3+/fw8byV3PTKdKZ9vYaerepz/9m96d26dEOqiuyKQzuwoaCQf3zyFSPO6f39FHiSJEmSJEmSVFIGLKrw6tWqyt1DcjjtwQ/47fPTuPfMnN0eVVJUFHl+8tfc/sZMlq7dc0Zz9GvbkD8cvy+/fWEat46dyTn7t+bPr8/gtWlLaFavBn89vSfH92i+x6yzsqtCCFx/VBeuPbLzXvfeJUmSJEmSJCPbuwAADyZJREFUJJUtAxZVCr1bN+CqIzpx69iZDPw4k7P6t076Gp/MLx7NMXXRGnq0qs/fzupF79YNy6Da1Diz/z7M+GYtI96by2Pj55FepQq/PqwjQw9sVyZr5FQmhiuSJEmSJEmSSpsBiyqNiw5sx4Tc5fzXy9Pp3boBnZtm7NJ5X63M55bXZ/LqtG9omrFnj+b4/XFdWbOhgOrpVbjyiE40redC7pIkSZIkSZJUFgxYVGlUqRK487SeHH33+wx7ejIvDRtErWo7/hHO27SFv709h4fHzSMtBH51WAeGHthup+dUdlXTqnD3kJxUlyFJkiRJkiRJe7wqqS5ASkajutX579N6kvttHn94afp2jyksijzzyUIOuv0d/vZOLsfu14y3rhrMrw7ruEeHK5IkSZIkSZKk8uPdZlU6P+mQxaUHZXPf27kMbJ/JCT1bfL/vg9wV3PTKdKZ/s5berRvw8Hl96NmqfuqKlSRJkiRJkiTtkQxYVCn9+rCOfDR3Jb99fho9WtYnBPjTazN444ultKhfk3uG5HBs92aEsOetsyJJkiRJkiRJSj0DFlVK6WlVuGtIDkff9T5nPvQh3+ZtompaFa46oiMXHtCOGlXTUl2iJEmSJEmSJGkP5hosqrRa1K/JHaf2YHneZk7s2YJ3rjqIYYd0MFyRJEmSJEmSJJU5R7CoUju8axOm/9eRpKeZFUqSJEmSJEmSyo93pVXpGa5IkiRJkiRJksqbd6YlSZIkSZIkSZKSZMAiSZIkSZIkSZKUJAMWSZIkSZIkSZKkJBmwSJIkSZIkSZIkJcmARZIkSZIkSZIkKUkGLJIkSZIkSZIkSUkyYJEkSZIkSZIkSUqSAYskSZIkSZIkSVKSDFgkSZIkSZIkSZKSZMAiSZIkSZIkSZKUJAMWSZIkSZIkSZKkJBmwSJIkSZIkSZIkJcmARZIkSZIkSZIkKUkGLJIkSZIkSZIkSUkyYJEkSZIkSZIkSUqSAYskSZIkSZIkSVKSDFgkSZIkSZIkSZKSZMAiSZIkSZIkSZKUJAMWSZIkSZIkSZKkJFWqgCWE8NMQwqwQwpwQwnWprkeSJEmSJEmSJO2dKk3AEkJIA+4DjgK6AkNCCF1TW5UkSZIkSZIkSdobVZqABegHzIkxzo0xbgZGAyekuCZJkiRJkiRJkrQXCjHGVNewS0IIPwN+GmO8MPH9OUD/GOOwbY4bCgwFaNKkSe/Ro0eXe62pkpeXR506dVJdhqRKyh4iqaTsI5JKyj4iqaTsI5JKyj6ibR188METY4x9trcvvbyLKYGwnW0/SIdijCOAEQB9+vSJBx10UBmXVXG888477E3vV1LpsodIKin7iKSSso9IKin7iKSSso8oGZVpirBFQKutvm8JLE5RLZIkSZIkSZIkaS9WmQKWT4AOIYS2IYRqwBnASymuSZIkSZIkSZIk7YUqzRRhMcYtIYRhwBtAGvBojPGLFJclSZIkSZIkSZL2QpUmYAGIMb4GvJbqOiRJkiRJkiRJ0t6tMk0RJkmSJEmSJEmSVCEYsEiSJEmSJEmSJCXJgEWSJEmSJEmSJClJBiySJEmSJEmSJElJMmCRJEmSJEmSJElKkgGLJEmSJEmSJElSkgxYJEmSJEmSJEmSkmTAIkmSJEmSJEmSlCQDFkmSJEmSJEmSpCQZsEiSJEmSJEmSJCXJgEWSJEmSJEmSJClJBiySJEmSJEmSJElJMmCRJEmSJEmSJElKkgGLJEmSJEmSJElSkkKMMdU1lJkQwrfAglTXUY6ygOWpLkJSpWUPkVRS9hFJJWUfkVRS9hFJJWUf0bZaxxgbbW/HHh2w7G1CCJ/GGPukug5JlZM9RFJJ2UcklZR9RFJJ2UcklZR9RMlwijBJkiRJkiRJkqQkGbBIkiRJkiRJkiQlyYBlzzIi1QVIqtTsIZJKyj4iqaTsI5JKyj4iqaTsI9plrsEiSZIkSZIkSZKUJEewSJIkSZIkSZIkJcmARZIkSZIkSZIkKUkGLBVYCOHREMKyEMLnW23rEUL4IIQwLYTwcgghY6t93RP7vkjsr5HY3jvx/ZwQwt0hhJCK9yOp/JVWH9lq/0tbX0vSnq8Ufx8Zkvh+aghhbAghKxXvR1L5SqaHhBDOCiF8ttVXUQihZwihVgjh1RDCzERvuSV170hSeSuNPpLYVy2EMCKE8GWin5ySorckqZwl2UeqhhAeT2yfEUK4fqtzvMeqHzBgqdhGAj/dZtvDwHUxxv2AF4CrAUII6cBTwMUxxm7AQUBB4pz7gaFAh8TXtteUtOcaSen0EUIIJwN5ZV+ypApmJCXsI4ntdwEHxxi7A1OBYeVSvaRUG8ku9pAY499jjD1jjD2Bc4D5McbPEufcEWPsDOQAg0IIR5VD7ZIqhpGUTh+5AVgWY+wIdAXeLfvSJVUQI9nFPgKcClRPbO8NXBRCaJPY5z1W/YABSwUWY3wPWLnN5k7Ae4nn/wK++8TFEcDUGOOUxLkrYoyFIYRmQEaM8YMYYwSeAE4s8+IlVQil0UcAQgh1gN8AN5d50ZIqlFLqIyHxVTvxKa8MYHFZ1y4p9ZLsIVsbAoxKXCM/xvh24vlmYBLQskwKllThlEYfSbgA+HPimkUxxuWlXKqkCirJPhIp/rslHagJbAbWeo9VO2LAUvl8DhyfeH4q0CrxvCMQQwhvhBAmhRCuSWxvASza6vxFiW2S9l7J9hGAm4C/APnlV6akCiypPhJjLAAuAaZRHKx0BR4p35IlVSA76iFbO51/vzEKQAihPnAc8GZZFSepUkiqjyR6B8BNid9Rng0hNCnzKiVVZDvqI2OA9cA3wEKKR9GuxHus2gEDlsrnAuCyEMJEoC7FKSpAOvAT4KzE40khhEMp/rTotmJ5FCqpwkqqjyTmLG4fY3whFcVKqpCS7SNVKQ5YcoDmFE8Rdv0Prippb7GjHgJACKE/kB9j/Hyb7ekU3yy9O8Y4t7yKlVQhJdtH0ike+TY+xtgL+AC4oxzrlVTx7KiP9AMKKf67pS1wZQihHd5j1Q6kp7oAJSfGOJPi6TcIIXQEjknsWgS8+90Q1xDCa0AviudB33r4fEuckkPaq+1GH8kDeocQ5lP8/0bjEMI7McaDyrl0SRXEbvSRtYnzchPb/wFcV85lS6ogdtJDvnMG2xm9AowAZscY/1qmBUqq8Hajj6ygeDT+dx8aexb4RRmXKakC20kfORMYmxiFvyyEMB7oA7yP91i1HY5gqWRCCI0Tj1WA/wAeSOx6A+geQqiV+GTXYGB6jPEbYF0IYf/EnOfnAi+moHRJFcRu9JH7Y4zNY4xtKP5E+peGK9LeLdk+AnwNdA0hNEocdzgwo3yrllRR7KSHfLftVGD0NufcDNQDflVuhUqqsJLtI4n1El4GDkpsOpTi31Ek7aV20kcWAoeEYrWB/YGZ3mPVjhiwVGAhhFEUD1vtFEJYFEL4BTAkhPAlMJPilPQxgBjjKuBO4BPgM2BSjPHVxKUuAR4G5gC5wOvl+T4kpU4p9hFJe6nS6CMxxsXAH4D3QghTgZ7An8r7vUgqf8n0kIQDgUVbTwEWQmgJ3EDx+k2TQgifhRAuLLc3ISmlSqOPJFwL3Jj4XeQc4Mqyr15SRZBkH7kPqEPxGi2fAI/FGKcm9nmPVT8QikN8SZIkSZIkSZIk7SpHsEiSJEmSJEmSJCXJgEWSJEmSJEmSJClJBiySJEmSJEmSJElJMmCRJEmSJEmSJElKkgGLJEmSJEmSJElSkgxYJEmSJFVKIYT5IYQYQjg/1bVIkiRJ2vukp7oASZIkSdpWIjRpA7wTY3wnpcVIkiRJ0nYYsEiSJEmqiM4HBieev7ODY3KBjcCacqhHkiRJkv6NAYskSZKkSinGeGiqa5AkSZK093INFkmSJEmSJEmSpCQZsEiSJEmqMEII54cQIv8/Pdh/Jhay3/qrTeLYHS5yv9WxB4UQMkMId4YQckMIG0IIC0II94YQGm11fOsQwv0hhHkhhI0hhIUhhL+EEOr+SL31Qgg3hBA+CiGsCiFsCiF8FUIYFULYv/T+ZSRJkiRVNE4RJkmSJKki2QAsBRoCVYH1QN42xxQmcb19gCeBlolrVUlsuww4JIQwEOgAvAZkAWuBNKAV8BugfwhhcIzxB68ZQugPvAg02aqu/MRrnQGcHkK4Icb45yTqlSRJklRJOIJFkiRJUoURY3wmxtgUmJDYdEeMsek2X18lccm7gOXA/jHGOkAdYAjFQUgX4CbgWWAqsG+MsR5QF7ic4sBkEPDzbS+aGEUzluJwZQzQG6gRY8xIbLspcf6fQggnJlGvJEmSpErCgEWSJEnSnmwTcFiM8SOAGGNBjHE08JfE/mEUj5A5Osb4ReKYjTHGe4GnE8ecsZ3r3g7UB56MMZ4aY5wUY9ySOH9ZjPH3wDWJY28s/bclSZIkKdUMWCRJkiTtyR6KMa7YzvY3tnp+Z4xx006O6b71xhBCQ+DkxLe37OS1n0g89gghNNnJcZIkSZIqIddgkSRJkrQn+3gH25du9fyTHzmmwTbbB/D/H1Z7K4SwK3W03uY1JUmSJFVyBiySJEmS9mTrdrB9SxLHbPt3U/Otnu/qyJRau3icJEmSpErCgEWSJEmSkpOWeNwQYzQ4kSRJkvZSrsEiSZIkSclZknisGUJon9JKJEmSJKWMAYskSZKkiqgo8bhLC5yUswlATDw/I5WFSJIkSUodAxZJkiRJFdHaxGP9VBaxPTHGZcCLiW+vDiF03NnxIYSGZV+VJEmSpPJmwCJJkiSpIvo88Xh0CKFFSivZviuBFUAGMC6EcEEIod53O0MIWSGEk0MIzwOjUlWkJEmSpLJjwCJJkiSpInoc2Ai0BxaGEJaEEOYnvlqmuDZijHOBw4H5QCPgEWBVCGFlCGEd8C3wHHAS/t0lSZIk7ZH8RV+SJElShRNjnA0cDLxEcViRCbROfKWnsLTvxRgnA12BYcD/AsuBuhT/nTUbeJriNVpOTlWNkiRJkspOiDH++FGSJEmSJEmSJEn6niNYJEmSJEmSJEmSkmTAIkmSJEmSJEmSlCQDFkmSJEmSJEmSpCQZsEiSJEmSJEmSJCXJgEWSJEmSJEmSJClJBiySJEmSJEmSJElJMmCRJEmSJEmSJElKkgGLJEmSJEmSJElSkgxYJEmSJEmSJEmSkmTAIkmSJEmSJEmSlKT/A1F66v7XIDQJAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 2016x1296 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制利润大图\n",
    "keys1=data.keys()\n",
    "fig,ax=plt.subplots(figsize=(28,18))\n",
    "plt.plot(data['value'])\n",
    "plt.title('Quarterly profit per share of Johnson&Johnson',fontsize=25)\n",
    "ax.set_xlabel(\"time\",fontsize=25)\n",
    "ax.set_ylabel(\"value\",fontsize=25)\n",
    "ax.legend(loc=\"best\",fontsize=18)\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "time\n",
       "1960-03-01    0.71\n",
       "1960-06-01    0.63\n",
       "1960-09-01    0.85\n",
       "1960-12-01    0.44\n",
       "1961-03-01    0.61\n",
       "Name: value, dtype: float64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "NGE=data[\"value\"]\n",
    "NGE.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "decomposition=tsa.STL(NGE).fit()\n",
    "decomposition.plot()\n",
    "#趋势效应\n",
    "trend=decomposition.trend\n",
    "#季节效应\n",
    "seasonal=decomposition.seasonal\n",
    "#随机效应\n",
    "residual=decomposition.resid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#利用ADF检查平稳性\n",
    "def test_stationarity(timeseries,alpha=1e-3):\n",
    "    datatest=tsa.adfuller(timeseries,autolag=\"AIC\")\n",
    "    dfoutput=pd.Series(datatest[0:4],index=[\"Test Statistic\",\"p-value\",\"#Lags used\",\"Number of Observations Used\"])\n",
    "    for key,value in datatest[4].items():\n",
    "        dfoutput[\"Critical Value(%s)\"%key]=value\n",
    "        \n",
    "        print(dfoutput)\n",
    "        critical_value=datatest[4][\"5%\"]\n",
    "        test_statistic=datatest[0]\n",
    "        pvalue=datatest[1]\n",
    "        if pvalue<alpha and test_statistic<critical_value:#null hypothesis:x is non stationary\n",
    "            print(\"X is stationary\")\n",
    "            return True\n",
    "        else:\n",
    "            print(\"X is not stationary\")\n",
    "            return False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test Statistic                  2.742017\n",
      "p-value                         1.000000\n",
      "#Lags used                     11.000000\n",
      "Number of Observations Used    72.000000\n",
      "Critical Value(1%)             -3.524624\n",
      "dtype: float64\n",
      "X is not stationary\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_stationarity(NGE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Test Statistic                 -3.207938\n",
      "p-value                         0.019530\n",
      "#Lags used                      4.000000\n",
      "Number of Observations Used    66.000000\n",
      "Critical Value(1%)             -3.533560\n",
      "dtype: float64\n",
      "X is not stationary\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#平稳化操作\n",
    "#一阶差分\n",
    "nge_difference=NGE.diff(1)\n",
    "#12步差分\n",
    "nge_seasonal=nge_difference.diff(12)\n",
    "test_stationarity(nge_seasonal.dropna())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "#白噪声检验\n",
    "def test_white_noise(data):\n",
    "    return sm.stats.acorr_ljungbox(data.dropna(),return_df=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>lb_stat</th>\n",
       "      <th>lb_pvalue</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>74.486740</td>\n",
       "      <td>6.104693e-18</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>143.996709</td>\n",
       "      <td>5.389048e-32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>205.858744</td>\n",
       "      <td>2.286446e-44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>267.181739</td>\n",
       "      <td>1.291928e-56</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>320.528712</td>\n",
       "      <td>3.852584e-67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>368.220282</td>\n",
       "      <td>1.887230e-76</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>410.969252</td>\n",
       "      <td>1.058822e-84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>451.669017</td>\n",
       "      <td>1.623008e-92</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>487.314303</td>\n",
       "      <td>2.988023e-99</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>518.384064</td>\n",
       "      <td>5.191993e-105</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>545.717862</td>\n",
       "      <td>5.609602e-110</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>570.842720</td>\n",
       "      <td>1.774097e-114</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>592.004158</td>\n",
       "      <td>3.881054e-118</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>610.439441</td>\n",
       "      <td>3.189306e-121</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>626.387608</td>\n",
       "      <td>8.737562e-124</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>640.925800</td>\n",
       "      <td>4.702247e-126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>652.972430</td>\n",
       "      <td>8.427364e-128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>663.263353</td>\n",
       "      <td>3.503422e-129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>671.842694</td>\n",
       "      <td>3.301534e-130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>679.492010</td>\n",
       "      <td>4.813215e-131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>685.350704</td>\n",
       "      <td>1.648957e-131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>689.984188</td>\n",
       "      <td>1.006704e-131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>693.471287</td>\n",
       "      <td>1.052922e-131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>696.296915</td>\n",
       "      <td>1.490051e-131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>698.029879</td>\n",
       "      <td>3.513400e-131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>699.147038</td>\n",
       "      <td>1.094964e-130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>699.787203</td>\n",
       "      <td>4.216554e-130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>700.144885</td>\n",
       "      <td>1.826534e-129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>700.200482</td>\n",
       "      <td>8.985740e-129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>700.207590</td>\n",
       "      <td>4.444990e-128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>700.337235</td>\n",
       "      <td>2.037965e-127</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>700.725355</td>\n",
       "      <td>8.121497e-127</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>701.600765</td>\n",
       "      <td>2.524409e-126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>703.066611</td>\n",
       "      <td>5.834973e-126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>705.212843</td>\n",
       "      <td>9.624199e-126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>708.310997</td>\n",
       "      <td>9.971254e-126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>712.599450</td>\n",
       "      <td>5.806094e-126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>718.040535</td>\n",
       "      <td>1.938881e-126</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>724.712305</td>\n",
       "      <td>3.585603e-127</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>732.834880</td>\n",
       "      <td>3.314640e-128</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       lb_stat      lb_pvalue\n",
       "1    74.486740   6.104693e-18\n",
       "2   143.996709   5.389048e-32\n",
       "3   205.858744   2.286446e-44\n",
       "4   267.181739   1.291928e-56\n",
       "5   320.528712   3.852584e-67\n",
       "6   368.220282   1.887230e-76\n",
       "7   410.969252   1.058822e-84\n",
       "8   451.669017   1.623008e-92\n",
       "9   487.314303   2.988023e-99\n",
       "10  518.384064  5.191993e-105\n",
       "11  545.717862  5.609602e-110\n",
       "12  570.842720  1.774097e-114\n",
       "13  592.004158  3.881054e-118\n",
       "14  610.439441  3.189306e-121\n",
       "15  626.387608  8.737562e-124\n",
       "16  640.925800  4.702247e-126\n",
       "17  652.972430  8.427364e-128\n",
       "18  663.263353  3.503422e-129\n",
       "19  671.842694  3.301534e-130\n",
       "20  679.492010  4.813215e-131\n",
       "21  685.350704  1.648957e-131\n",
       "22  689.984188  1.006704e-131\n",
       "23  693.471287  1.052922e-131\n",
       "24  696.296915  1.490051e-131\n",
       "25  698.029879  3.513400e-131\n",
       "26  699.147038  1.094964e-130\n",
       "27  699.787203  4.216554e-130\n",
       "28  700.144885  1.826534e-129\n",
       "29  700.200482  8.985740e-129\n",
       "30  700.207590  4.444990e-128\n",
       "31  700.337235  2.037965e-127\n",
       "32  700.725355  8.121497e-127\n",
       "33  701.600765  2.524409e-126\n",
       "34  703.066611  5.834973e-126\n",
       "35  705.212843  9.624199e-126\n",
       "36  708.310997  9.971254e-126\n",
       "37  712.599450  5.806094e-126\n",
       "38  718.040535  1.938881e-126\n",
       "39  724.712305  3.585603e-127\n",
       "40  732.834880  3.314640e-128"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_white_noise(NGE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<function matplotlib.pyplot.show(close=None, block=None)>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#绘制ACF，PACF图\n",
    "fig=plot_acf(nge_seasonal.dropna(),lags=10)\n",
    "fig=plot_pacf(nge_seasonal.dropna(),lags=10)\n",
    "plt.show"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "#网格搜索pdq、PDQ\n",
    "def grid_search(data):\n",
    "    p=q=range(0,3)\n",
    "    s=[12]\n",
    "    d=[1]\n",
    "    PDQs=list(itertools.product(p,d,q,s))\n",
    "    pdq=list(itertools.product(p,d,q))\n",
    "    params=[]\n",
    "    seasonal_params=[]\n",
    "    results=[]\n",
    "    grid=pd.DataFrame()\n",
    "    \n",
    "    for param in pdq:\n",
    "        for seasonal_param in PDQs:\n",
    "            mod=tsa.SARIMAX(data,order=param,seasonal_order=seasonal_param,enforce_stationarity=False,enforce_invertibility=False)\n",
    "            result=mod.fit()\n",
    "            print(\"ARIMA{}X{}-AIC:{}\".format(param,seasonal_param,result.aic))\n",
    "            params.append(param)\n",
    "            seasonal_params.append(seasonal_param)\n",
    "            results.append(result.aic)\n",
    "            \n",
    "    grid[\"pdq\"]=params\n",
    "    grid[\"PDQs\"]=seasonal_params\n",
    "    grid[\"aic\"]=results\n",
    "    print(grid[grid[\"aic\"]==grid[\"aic\"].min()])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ARIMA(0, 1, 0)X(0, 1, 0, 12)-AIC:221.05530803862288\n",
      "ARIMA(0, 1, 0)X(0, 1, 1, 12)-AIC:196.28735507735155\n",
      "ARIMA(0, 1, 0)X(0, 1, 2, 12)-AIC:160.80766292517478\n",
      "ARIMA(0, 1, 0)X(1, 1, 0, 12)-AIC:198.53152374927924\n",
      "ARIMA(0, 1, 0)X(1, 1, 1, 12)-AIC:197.54067422474765\n",
      "ARIMA(0, 1, 0)X(1, 1, 2, 12)-AIC:154.60046673509032\n",
      "ARIMA(0, 1, 0)X(2, 1, 0, 12)-AIC:131.54974169997666\n",
      "ARIMA(0, 1, 0)X(2, 1, 1, 12)-AIC:133.52719673130116\n",
      "ARIMA(0, 1, 0)X(2, 1, 2, 12)-AIC:127.84232373124804\n",
      "ARIMA(0, 1, 1)X(0, 1, 0, 12)-AIC:177.55770133092554\n",
      "ARIMA(0, 1, 1)X(0, 1, 1, 12)-AIC:159.54426586184783\n",
      "ARIMA(0, 1, 1)X(0, 1, 2, 12)-AIC:131.5212939302528\n",
      "ARIMA(0, 1, 1)X(1, 1, 0, 12)-AIC:163.2562714682523\n",
      "ARIMA(0, 1, 1)X(1, 1, 1, 12)-AIC:158.8755261782941\n",
      "ARIMA(0, 1, 1)X(1, 1, 2, 12)-AIC:123.872981435711\n",
      "ARIMA(0, 1, 1)X(2, 1, 0, 12)-AIC:119.12979216644126\n",
      "ARIMA(0, 1, 1)X(2, 1, 1, 12)-AIC:120.5976902584072\n",
      "ARIMA(0, 1, 1)X(2, 1, 2, 12)-AIC:115.03902345441539\n",
      "ARIMA(0, 1, 2)X(0, 1, 0, 12)-AIC:155.58639949154386\n",
      "ARIMA(0, 1, 2)X(0, 1, 1, 12)-AIC:141.26515846050611\n",
      "ARIMA(0, 1, 2)X(0, 1, 2, 12)-AIC:125.4211313853372\n",
      "ARIMA(0, 1, 2)X(1, 1, 0, 12)-AIC:146.93818452721052\n",
      "ARIMA(0, 1, 2)X(1, 1, 1, 12)-AIC:142.94999740487435\n",
      "ARIMA(0, 1, 2)X(1, 1, 2, 12)-AIC:114.42886849357664\n",
      "ARIMA(0, 1, 2)X(2, 1, 0, 12)-AIC:118.89907233898438\n",
      "ARIMA(0, 1, 2)X(2, 1, 1, 12)-AIC:120.0213061721044\n",
      "ARIMA(0, 1, 2)X(2, 1, 2, 12)-AIC:113.28492732880694\n",
      "ARIMA(1, 1, 0)X(0, 1, 0, 12)-AIC:166.1506690875002\n",
      "ARIMA(1, 1, 0)X(0, 1, 1, 12)-AIC:148.6559475058915\n",
      "ARIMA(1, 1, 0)X(0, 1, 2, 12)-AIC:122.44069714014373\n",
      "ARIMA(1, 1, 0)X(1, 1, 0, 12)-AIC:146.56123963397349\n",
      "ARIMA(1, 1, 0)X(1, 1, 1, 12)-AIC:146.3434481784415\n",
      "ARIMA(1, 1, 0)X(1, 1, 2, 12)-AIC:114.89742171425644\n",
      "ARIMA(1, 1, 0)X(2, 1, 0, 12)-AIC:110.72098609107012\n",
      "ARIMA(1, 1, 0)X(2, 1, 1, 12)-AIC:112.59686844642106\n",
      "ARIMA(1, 1, 0)X(2, 1, 2, 12)-AIC:111.86746779131002\n",
      "ARIMA(1, 1, 1)X(0, 1, 0, 12)-AIC:161.9945184182805\n",
      "ARIMA(1, 1, 1)X(0, 1, 1, 12)-AIC:145.55078402464784\n",
      "ARIMA(1, 1, 1)X(0, 1, 2, 12)-AIC:121.52481245852036\n",
      "ARIMA(1, 1, 1)X(1, 1, 0, 12)-AIC:145.67746229852867\n",
      "ARIMA(1, 1, 1)X(1, 1, 1, 12)-AIC:143.44406392262368\n",
      "ARIMA(1, 1, 1)X(1, 1, 2, 12)-AIC:113.0186084335273\n",
      "ARIMA(1, 1, 1)X(2, 1, 0, 12)-AIC:110.98232363463924\n",
      "ARIMA(1, 1, 1)X(2, 1, 1, 12)-AIC:112.96723411017716\n",
      "ARIMA(1, 1, 1)X(2, 1, 2, 12)-AIC:112.38089168210075\n",
      "ARIMA(1, 1, 2)X(0, 1, 0, 12)-AIC:144.40763604983812\n",
      "ARIMA(1, 1, 2)X(0, 1, 1, 12)-AIC:131.32383529295646\n",
      "ARIMA(1, 1, 2)X(0, 1, 2, 12)-AIC:108.8142324383511\n",
      "ARIMA(1, 1, 2)X(1, 1, 0, 12)-AIC:135.48527156233342\n",
      "ARIMA(1, 1, 2)X(1, 1, 1, 12)-AIC:134.05997831738046\n",
      "ARIMA(1, 1, 2)X(1, 1, 2, 12)-AIC:105.65461053683516\n",
      "ARIMA(1, 1, 2)X(2, 1, 0, 12)-AIC:107.97007426737481\n",
      "ARIMA(1, 1, 2)X(2, 1, 1, 12)-AIC:109.03572163498802\n",
      "ARIMA(1, 1, 2)X(2, 1, 2, 12)-AIC:104.062851077645\n",
      "ARIMA(2, 1, 0)X(0, 1, 0, 12)-AIC:166.47880429091117\n",
      "ARIMA(2, 1, 0)X(0, 1, 1, 12)-AIC:150.3580351003522\n",
      "ARIMA(2, 1, 0)X(0, 1, 2, 12)-AIC:124.37314580910248\n",
      "ARIMA(2, 1, 0)X(1, 1, 0, 12)-AIC:146.5234726284797\n",
      "ARIMA(2, 1, 0)X(1, 1, 1, 12)-AIC:146.10759400267543\n",
      "ARIMA(2, 1, 0)X(1, 1, 2, 12)-AIC:116.82164377923728\n",
      "ARIMA(2, 1, 0)X(2, 1, 0, 12)-AIC:111.31868762582717\n",
      "ARIMA(2, 1, 0)X(2, 1, 1, 12)-AIC:113.21275078241574\n",
      "ARIMA(2, 1, 0)X(2, 1, 2, 12)-AIC:112.36718116008223\n",
      "ARIMA(2, 1, 1)X(0, 1, 0, 12)-AIC:163.54958544916676\n",
      "ARIMA(2, 1, 1)X(0, 1, 1, 12)-AIC:147.10970146382402\n",
      "ARIMA(2, 1, 1)X(0, 1, 2, 12)-AIC:129.1319381809152\n",
      "ARIMA(2, 1, 1)X(1, 1, 0, 12)-AIC:146.87274696397856\n",
      "ARIMA(2, 1, 1)X(1, 1, 1, 12)-AIC:147.3720496567547\n",
      "ARIMA(2, 1, 1)X(1, 1, 2, 12)-AIC:116.53001240569245\n",
      "ARIMA(2, 1, 1)X(2, 1, 0, 12)-AIC:113.3897779913813\n",
      "ARIMA(2, 1, 1)X(2, 1, 1, 12)-AIC:115.23120952554567\n",
      "ARIMA(2, 1, 1)X(2, 1, 2, 12)-AIC:114.85138427859722\n",
      "ARIMA(2, 1, 2)X(0, 1, 0, 12)-AIC:146.36497683052298\n",
      "ARIMA(2, 1, 2)X(0, 1, 1, 12)-AIC:133.22581053495156\n",
      "ARIMA(2, 1, 2)X(0, 1, 2, 12)-AIC:110.79988599759116\n",
      "ARIMA(2, 1, 2)X(1, 1, 0, 12)-AIC:135.50478816362187\n",
      "ARIMA(2, 1, 2)X(1, 1, 1, 12)-AIC:136.0523914825523\n",
      "ARIMA(2, 1, 2)X(1, 1, 2, 12)-AIC:107.14265671514242\n",
      "ARIMA(2, 1, 2)X(2, 1, 0, 12)-AIC:108.18734089159473\n",
      "ARIMA(2, 1, 2)X(2, 1, 1, 12)-AIC:109.27875519949893\n",
      "ARIMA(2, 1, 2)X(2, 1, 2, 12)-AIC:106.04877803736696\n",
      "          pdq           PDQs         aic\n",
      "53  (1, 1, 2)  (2, 1, 2, 12)  104.062851\n"
     ]
    }
   ],
   "source": [
    "grid_search(NGE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "#建立模型\n",
    "mod=tsa.SARIMAX(NGE,order=(1,1,2),seasonal_order=(2,1,2,12))\n",
    "results=mod.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>lb_stat</th>\n",
       "      <th>lb_pvalue</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.181873</td>\n",
       "      <td>6.697687e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>5.169205</td>\n",
       "      <td>7.542606e-02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>5.244758</td>\n",
       "      <td>1.547274e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>28.535134</td>\n",
       "      <td>9.715031e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>30.815901</td>\n",
       "      <td>1.018476e-05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>34.820395</td>\n",
       "      <td>4.668891e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>35.006745</td>\n",
       "      <td>1.115183e-05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>42.584124</td>\n",
       "      <td>1.051880e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>43.040788</td>\n",
       "      <td>2.118763e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>46.589889</td>\n",
       "      <td>1.121063e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>46.592446</td>\n",
       "      <td>2.539930e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>46.593481</td>\n",
       "      <td>5.481008e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>47.176774</td>\n",
       "      <td>9.020177e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>54.285886</td>\n",
       "      <td>1.147796e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>54.639758</td>\n",
       "      <td>2.052652e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>55.057924</td>\n",
       "      <td>3.479009e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>55.138088</td>\n",
       "      <td>6.511126e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>59.686348</td>\n",
       "      <td>2.299140e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>59.734185</td>\n",
       "      <td>4.262895e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>63.863301</td>\n",
       "      <td>1.768663e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>64.988942</td>\n",
       "      <td>2.182323e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>68.669131</td>\n",
       "      <td>1.069490e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>68.686345</td>\n",
       "      <td>1.936727e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>70.945675</td>\n",
       "      <td>1.570810e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>71.544054</td>\n",
       "      <td>2.263672e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>72.132498</td>\n",
       "      <td>3.229948e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>74.290142</td>\n",
       "      <td>2.684994e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>80.926255</td>\n",
       "      <td>4.854397e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>81.516762</td>\n",
       "      <td>6.933214e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>82.187741</td>\n",
       "      <td>9.530037e-07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>82.602594</td>\n",
       "      <td>1.411454e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>83.997760</td>\n",
       "      <td>1.499935e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>84.258550</td>\n",
       "      <td>2.291519e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>84.295067</td>\n",
       "      <td>3.711919e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>84.663566</td>\n",
       "      <td>5.344186e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>85.594902</td>\n",
       "      <td>6.402702e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>85.787435</td>\n",
       "      <td>9.549351e-06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>85.796216</td>\n",
       "      <td>1.487105e-05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>85.835114</td>\n",
       "      <td>2.265656e-05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>85.922630</td>\n",
       "      <td>3.361978e-05</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      lb_stat     lb_pvalue\n",
       "1    0.181873  6.697687e-01\n",
       "2    5.169205  7.542606e-02\n",
       "3    5.244758  1.547274e-01\n",
       "4   28.535134  9.715031e-06\n",
       "5   30.815901  1.018476e-05\n",
       "6   34.820395  4.668891e-06\n",
       "7   35.006745  1.115183e-05\n",
       "8   42.584124  1.051880e-06\n",
       "9   43.040788  2.118763e-06\n",
       "10  46.589889  1.121063e-06\n",
       "11  46.592446  2.539930e-06\n",
       "12  46.593481  5.481008e-06\n",
       "13  47.176774  9.020177e-06\n",
       "14  54.285886  1.147796e-06\n",
       "15  54.639758  2.052652e-06\n",
       "16  55.057924  3.479009e-06\n",
       "17  55.138088  6.511126e-06\n",
       "18  59.686348  2.299140e-06\n",
       "19  59.734185  4.262895e-06\n",
       "20  63.863301  1.768663e-06\n",
       "21  64.988942  2.182323e-06\n",
       "22  68.669131  1.069490e-06\n",
       "23  68.686345  1.936727e-06\n",
       "24  70.945675  1.570810e-06\n",
       "25  71.544054  2.263672e-06\n",
       "26  72.132498  3.229948e-06\n",
       "27  74.290142  2.684994e-06\n",
       "28  80.926255  4.854397e-07\n",
       "29  81.516762  6.933214e-07\n",
       "30  82.187741  9.530037e-07\n",
       "31  82.602594  1.411454e-06\n",
       "32  83.997760  1.499935e-06\n",
       "33  84.258550  2.291519e-06\n",
       "34  84.295067  3.711919e-06\n",
       "35  84.663566  5.344186e-06\n",
       "36  85.594902  6.402702e-06\n",
       "37  85.787435  9.549351e-06\n",
       "38  85.796216  1.487105e-05\n",
       "39  85.835114  2.265656e-05\n",
       "40  85.922630  3.361978e-05"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test_white_noise(results.resid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x864 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig_result=results.plot_diagnostics(figsize=(15,12))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "#预测\n",
    "def get_prediction(data,results,start,dynamic=False):\n",
    "    pred=results.get_prediction(start=start,dynamic=dynamic,full_results=True)\n",
    "    pred_ci=pred.conf_int()\n",
    "    forecast=pred.predicted_mean\n",
    "    truth=data[start:]\n",
    "    pred_concat=pd.concat([truth,forecast,pred_ci],axis=1)\n",
    "    pred_concat.columns=[\"Original value\",\"Estimate\",\"lower limit\",\"upper limit\"]\n",
    "    print(\"MSE:{}\".format(mean_squared_error(truth,forecast)))\n",
    "    print(\"RMSE:{}\".format(np.sqrt(mean_squared_error(truth,forecast))))\n",
    "    return pred_concat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE:0.7901705202270021\n",
      "RMSE:0.8889153616779283\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred=get_prediction(NGE,results,\"1975-03-01\")\n",
    "pred.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE:2.2164483430137696\n",
      "RMSE:1.4887741074500758\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred=get_prediction(NGE,results,\"1976-03-01\",dynamic=True)\n",
    "pred.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "forecast=results.get_forecast(steps=60)\n",
    "fig=forecast.predicted_mean.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans.\n",
      "findfont: Font family ['sans-serif'] not found. Falling back to DejaVu Sans.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1152 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#展示最终预测\n",
    "fig,ax=plt.subplots(figsize=(20,16))\n",
    "ax.plot(NGE,label=\"Observe\")\n",
    "forecast.predicted_mean.plot(ax=ax,label=\"Forecast\")\n",
    "ax.fill_between(forecast.conf_int().index,forecast.conf_int().iloc[:,0],forecast.conf_int().iloc[:,1],alpha=0.4)\n",
    "ax.set_xlabel(\"time\",fontsize=18)\n",
    "ax.set_ylabel(\"value\",fontsize=18)\n",
    "ax.legend(loc=\"best\",fontsize=18)\n",
    "plt.xticks(fontsize=20)\n",
    "plt.yticks(fontsize=20)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The computed initial MA coefficients are not invertible\n",
      "You should induce invertibility, choose a different model order, or you can\n",
      "pass your own start_params.\n",
      "The computed initial MA coefficients are not invertible\n",
      "You should induce invertibility, choose a different model order, or you can\n",
      "pass your own start_params.\n",
      "The computed initial MA coefficients are not invertible\n",
      "You should induce invertibility, choose a different model order, or you can\n",
      "pass your own start_params.\n",
      "The computed initial MA coefficients are not invertible\n",
      "You should induce invertibility, choose a different model order, or you can\n",
      "pass your own start_params.\n"
     ]
    }
   ],
   "source": [
    "#第二种模型：ARIMA模型部分\n",
    "import statsmodels.tsa.arima_model as smtsa\n",
    "data1_df=data.copy()\n",
    "aicVal1=[]\n",
    "for p in range(1,3):\n",
    "    for d in range(1,3):\n",
    "        for q in range(1,3):\n",
    "            try:\n",
    "                arima_obj = smtsa.ARIMA(data1_df.value.tolist(),order=(p,d,q))\\\n",
    "                .fit(maxlag = 30,method='mle',trend='nc')\n",
    "                aicVal1.append([p,d,q,arima_obj.aic])\n",
    "            except Exception as e:\n",
    "                print(e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1, 1, 1, 262.7416488615295],\n",
       " [1, 1, 2, 248.87187470966973],\n",
       " [2, 1, 1, 264.7195112274502],\n",
       " [2, 1, 2, 249.96176658043638]]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aicVal1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                             ARIMA Model Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:                D.value   No. Observations:                   83\n",
      "Model:                 ARIMA(1, 1, 2)   Log Likelihood                -121.084\n",
      "Method:                       css-mle   S.D. of innovations              0.942\n",
      "Date:                Wed, 26 May 2021   AIC                            252.169\n",
      "Time:                        12:17:22   BIC                            264.263\n",
      "Sample:                    06-01-1960   HQIC                           257.028\n",
      "                         - 12-01-1980                                         \n",
      "=================================================================================\n",
      "                    coef    std err          z      P>|z|      [0.025      0.975]\n",
      "---------------------------------------------------------------------------------\n",
      "const             0.1661        nan        nan        nan         nan         nan\n",
      "ar.L1.D.value    -1.0000        nan        nan        nan         nan         nan\n",
      "ma.L1.D.value     0.2400      0.076      3.168      0.002       0.092       0.388\n",
      "ma.L2.D.value    -0.5408      0.070     -7.711      0.000      -0.678      -0.403\n",
      "                                    Roots                                    \n",
      "=============================================================================\n",
      "                  Real          Imaginary           Modulus         Frequency\n",
      "-----------------------------------------------------------------------------\n",
      "AR.1           -1.0000           +0.0000j            1.0000            0.5000\n",
      "MA.1           -1.1560           +0.0000j            1.1560            0.5000\n",
      "MA.2            1.5997           +0.0000j            1.5997            0.0000\n",
      "-----------------------------------------------------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#使用ARIMA模型进行分析和预测\n",
    "model1 = smtsa.ARIMA(data['value'],order = (1,1,2))\n",
    "model1_fit = model1.fit(disp=0)\n",
    "print(model1_fit.summary())\n",
    "\n",
    "data['ARIMA'] = model1_fit.predict(typ='levels')\n",
    "f,axarr = plt.subplots(1,sharex = True)\n",
    "f.set_size_inches(12,8)\n",
    "data['value'].plot(color = 'b',linestyle = '-',ax = axarr)\n",
    "data['ARIMA'].plot(color = 'r',linestyle = '--',ax = axarr)\n",
    "axarr.set_title('ARIMA(1,1,2)')\n",
    "plt.xlabel('Index')\n",
    "plt.ylabel('close price')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#预测\n",
    "output = model1_fit.predict('19700301','19800301',dynamic=True,typ='levels')\n",
    "#print(output)\n",
    "#可视化预测结果\n",
    "data1_forcast = pd.concat([data.value['19650301':'19800301'],output],axis=1,keys=['original','predicted'])\n",
    "plt.figure()\n",
    "plt.plot(data1_forcast)\n",
    "plt.title('Original vs predicted')\n",
    "plt.savefig('./data.pred.png',format='png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The computed initial AR coefficients are not stationary\n",
      "You should induce stationarity, choose a different model order, or you can\n",
      "pass your own start_params.\n"
     ]
    }
   ],
   "source": [
    "#第三种模型：ARMA模型部分            \n",
    "import statsmodels.tsa.arima_model as smtsa\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore', 'statsmodels.tsa.arima_model.ARMA',\n",
    "                        FutureWarning)\n",
    "data2_df=data.copy()\n",
    "aicVal2=[]\n",
    "for ari in range(1,3):\n",
    "    for maj in range(1,2):\n",
    "        try:\n",
    "            arma_obj = smtsa.ARMA(data2_df.value.tolist(),order=(ari,maj))\\\n",
    "            .fit(maxlag = 30,method='mle',trend='nc')\n",
    "            aicVal2.append([ari,maj,arma_obj.aic])\n",
    "        except Exception as e:\n",
    "            print(e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[1, 1, 274.74934350148084]]"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "aicVal2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                              ARMA Model Results                              \n",
      "==============================================================================\n",
      "Dep. Variable:                  value   No. Observations:                   84\n",
      "Model:                     ARMA(1, 1)   Log Likelihood                -139.517\n",
      "Method:                       css-mle   S.D. of innovations              1.166\n",
      "Date:                Wed, 26 May 2021   AIC                            287.034\n",
      "Time:                        12:26:10   BIC                            296.757\n",
      "Sample:                    03-01-1960   HQIC                           290.943\n",
      "                         - 12-01-1980                                         \n",
      "===============================================================================\n",
      "                  coef    std err          z      P>|z|      [0.025      0.975]\n",
      "-------------------------------------------------------------------------------\n",
      "const        1575.0990      0.001   1.39e+06      0.000    1575.097    1575.101\n",
      "ar.L1.value     1.0000        nan        nan        nan         nan         nan\n",
      "ma.L1.value    -0.5733      0.062     -9.238      0.000      -0.695      -0.452\n",
      "                                    Roots                                    \n",
      "=============================================================================\n",
      "                  Real          Imaginary           Modulus         Frequency\n",
      "-----------------------------------------------------------------------------\n",
      "AR.1            1.0000           +0.0000j            1.0000            0.0000\n",
      "MA.1            1.7444           +0.0000j            1.7444            0.0000\n",
      "-----------------------------------------------------------------------------\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#使用ARMA模型进行分析和预测\n",
    "model2 = smtsa.ARMA(data['value'],order = (1,1))\n",
    "model2_fit = model2.fit(disp=0)\n",
    "print(model2_fit.summary())\n",
    "\n",
    "data2_df['ARMA'] = arma_obj_fin.predict()\n",
    "f, axarr = plt.subplots(1,sharex=True)\n",
    "f.set_size_inches(12,8)\n",
    "data2_df['value'].iloc[len(data2_df)-50:]\\\n",
    ".plot(color='b',linestyle='-',ax=axarr)\n",
    "data2_df['ARMA'].iloc[len(data2_df)-50:]\\\n",
    ".plot(color='r',linestyle='--',ax=axarr)\n",
    "axarr.set_title('ARMA(1,1)')\n",
    "plt.xlabel('month')\n",
    "plt.ylabel('value')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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